Daniel Moore fired Elgin on their way to victory over Annan at Borough Briggs.
Annan midfielder Steven Sloan almost gave his side the lead in the 12th minute but saw his close-range effort strike the bar.
The hosts went ahead two minutes later when Moore found the bottom corner from 20 yards, before Paul Harkins doubled the lead from the centre of the penalty box nine minutes later.
Craig Gunn made it 3-0 on the brink of half time when he latched onto Moore's pass to fire home from the left side of the area.
The visitors pulled one back in the 54th minute when Michael Daly headed in Sloan's cross from close range.
Elgin had the chance to extend their lead in the 67th minute when Alex Mitchell fouled Harkins in the area, but his penalty was tipped over the bar by Mitchell.
Elgin City: Malin, Crighton, Duff, Nicolson, Niven (McMullan 25), Cameron, O'Donoghue, Morrison, Harkins (Millar 78),Moore, Gunn (Beveridge 82). Subs Not Used: Black, McLean.
Booked: Gunn. Goals: Moore 14, Harkins 23, Gunn 43.
Annan Athletic: Mitchell, Blake (Jardine 71), Monaghan (Murray 82),Swinglehurst, McGowan, Sloan, Chaplain, McNiff, Orsi, Daly, Hopkirk. Subs Not Used: Summersgill, Hawke, Love.
Booked: Daly, Monaghan. Goal: Daly 54.
Ref: Des Roache